You use a garden hose to fill a wading pool if the water rises 12 cm or seven minutes and you record the data point of (21,y) What is the value of Y?
Answers
Answer:
The rate of change at which the water level rise is 13/6 cm/minute.The slope of the line is 13/6.The value of y is 23, (12,23).
Step-by-step explanation:
In the question the water rises 13 cm every 6minutes. Taking x to represent the time in minutes and y to represent the rise in cm then, find the rise y in time x as;
6 minutes=13 cm
1 minute=?---------------------perform cross multiplication
(1*13)/6=13/6
Hence in 1 minute, the rise is 13/6 cm
Thus in 12 minutes, the rise will be ;
12 * 13/6 = 2*13= 26 cm
(x,y) will be (12,26)
Finding the slope of the line using point (6,13) and (x,y)
The rate of change at which the water level rises equals the slope of the line.This is the justification.
Related Questions
Write the equation of the line with the following characteristics. Parallel to y=7x+2 through the point (0,0)
Answers
Answer:
y = 7x - 5
Step-by-step explanation:
y = 7x+2 we see the gradient is 7 (x 0) + 2 = Since the line is parallel to y= 7x +2
The new line has a slope of 7 + 2 as the intercept at y.
y - 0 = 7 ( x - 0)
y - 1/7 = x - 0
y = 7x - 5
As 7 -5 = 2
Hence equation of line becomes y=7x.
What is Equation of line?You must ensure that both equations have the same slope in order to find an equation for a line that is parallel to another. The m reflects your slope value in the general equation of a line, y=mx+b.
How to solve?Now given line y=7x+2 ,this line is parallel to another line which passes through origin(0,0)
Hence putting 0,0 in general equation to find equation of parallel line
⇒y=mx+c
⇒0=m(0)+c
⇒0=c
where m=7 as parallel lines have same slope.
Hence equation of line becomes y=7x.
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what is the inverse of the function f(x) equals 1/9 X +2
Answers
Answer:
1/9x-2
Step-by-step explanation:
An airplane is flying at 350 km/h in a direction of 349 degrees. Find the westerly and northerly components of its velocity.
Answers
The westerly and northerly components of the velocity of a flying airplane are 343.5 km/h and 66.7 km/h respectively.
Given in the question,
The airplane is flying at 350km/h in a direction of 349 degrees.
so, the airplane is flying 360-349=11degrees from the east as shown in the image.
The northerly component is 350*sin11degrees and the westerly component is 350*cos11degrees.
To know more about Velocity component problems,
https://brainly.com/question/25253085
A polynomial function has a root of –7 with multiplicity 2, a root of –1 with multiplicity 1, a root of 2 with multiplicity 4, and a root of 4 with multiplicity 1. If the function has a positive leading coefficient and is of even degree, which statement about the graph is true?
Answers
Reason: f(-8)= 840,000a
840,000a is a positive number
Answer:
The graph of the function is positive on (-∞ –7).
Step-by-step explanation:
This two-way frequency table gives the results of a screening test for heart disease conducted by determining the cholesterol level in the blood
samples of 750 patients.
Question 1
Using the two-frequency table, compute the probability of having high cholesterol. Or Phigh cholesterol)
Answers
Answer:
The probability of having high cholesterol = 0.496
Step-by-step explanation:
Given frequency data table
cholesterol level
Normal High Total
Heart diseases Yes 11 223 234
No 367 149 516
Total 378 372 750
Given data
The Cholesterol level is high n ( High cholesterol) = 372
Total n( S) = 750
The probability of having high cholesterol level
P( E) = [tex]\frac{n(E)}{n(S)} = \frac{372}{750} = 0.496[/tex]
While bowling with friends, Brandy rolls a strike in 8 out of 10 frames. What is the experimental probability that Brandy will roll a strike in the first frame of the next game? Enter your answer as a simplified fraction.
Answers
He rolled 8 strikes out of 10 tries.
This make the probability of rolling a strike 8/10 which reduces to 4/5
The answer is 4/5
31/x=248/320
Solve for x
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Answer:
X =(31×320)÷248
=9920÷248
X =40
Question #2 [tex]5x+9\leq 4[/tex]
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Please help!!! The answer is written by listing the letter corresponding to each proportion.
Answers
Answer:
A.
B.
D.
E.
H.
Step-by-step explanation:
So if it's cross multiplication, the original has 5 possibilities.
There is:
x : u = y : t,
x : y = u : t,
t : y = u : x,
u : x = t : y
y : x = t : u
Which ordered pair is a solution of the equation?
y= 7x - 3
Choose 1 answer:
Answers
Answer:
[tex]\frac{3}{7}, -3[/tex]
Step-by-step explanation:
[tex]7x-3=0[/tex]
[tex]7x-3+3=0+3[/tex]
[tex]7x=3[/tex]
[tex]\frac{7x}{7}=\frac{3}{7}[/tex]
[tex]x=\frac{3}{7}[/tex]
[tex]\left(\frac{3}{7},\:0\right)[/tex]
[tex]y=7\cdot \:0-3[/tex]
[tex]y=0-3[/tex]
[tex]y=-3[/tex]
[tex]\left(0,\:-3\right)[/tex]
Answer:
3/7, 0
Step-by-step explanation:
7x-3=0
7x = 3
x = 3/7
substitute
y = 7(3/7) - 3
7s cancel out
y = 3 - 3
y= 0
Here is a pattern made up of tiles.
How many tiles will be in the 5th Pattern?
Answers
Answer:
26 tiles
Step-by-step explanation:
In the picture attached, the pattern is shown.
From the picture, we can see that:
the 1st pattern has 6 tilesthe 2nd pattern has 6 + 5 = 11 tiles the 3rd pattern has 11 + 5 = 16 tilesTherefore, the next patterns will have:
4th pattern, 16 + 5 = 21 tiles5th pattern, 21 + 5 = 26 tilesThe model represents an equation.
What value of x makes the equation true?
Record your answer and fill in the bubbles on your answer document. Be sure to use the
correct place value. x = -3.8
X = 2.25
x=4.12
x=2
Answers
The value of x in the model that makes the equation true is: b. x = 2.25
We can find the value of x that makes the equation true by applying our knowledge of how to model equations.
From the image given:
On your left, we have -x, in three places which can be translated to as: [tex]3 \times -x = -3x[/tex]On the left also, we are given [tex]10 \times 1 = 10[/tex]We can model the left side as:[tex]-3x + 10[/tex]
On your right, we have x in five places which can be translated to as: [tex]5 \times x = 5x[/tex]On the right also, we are given [tex]8 \times -1 = -8[/tex]We can model the left side as:[tex]5x - 8[/tex]
The equation would be:[tex]-3x + 10 = 5x - 8[/tex]
Solve the equation for the value of x. Collect like terms.[tex]-3x - 5x = - 8 - 10\\\\-8x = -18[/tex]
Divide both sides by -8[tex]x = \frac{-18}{-8} \\\\x = 2.25[/tex]
Therefore, the value of x in the model that makes the equation true is: b. x = 2.25
Learn more here:
https://brainly.com/question/16614424
Plz need help with this question asap!!!
Answers
Answer:
A.
Step-by-step explanation:
The expression (1/4) * d + 7 really just means "one-fourth times d, plus 7"
Option A says the same expression, as we know that the product means multiplication, and that we add 7 at the end. For this reason, it is the correct response.
I hope this helps!
hello,
here is your answer:
**********
The product of one-fourth and a number, plus seven.
**********
hope this helped,
:)
Mike’s house has three bedrooms. Each bedroom has a closet. The closet in the first bedroom measures 5 ft in length. 3 ft in width, and 7 ft in height. The closet in the second bedroom measures 5 ft in length, 4 ft in width, and 7 ft in height. The closet in the third bedroom measures 5 ft in length, 8 ft in width, and 7 ft in height. How much space is in all three closets combined? 3 ft in width, and 7 ft in height. The closet in the second bedroom measures 5 ft in length, 4 ft in width, and 7 ft in height. The closet in the third bedroom measures 5 ft in length, 8 ft in width, and 7 ft in height. How much space is in all three closets combined?
Answers
Answer:
7 ft
Step-by-step explanation:
Help me factorise these please :)
Answers
Answer:
Tell me if i'm wrong and stuff
Answer:
A:x ( x + 3 )
B:2 x ( x − 4 )
C:3 x ( 2 + 3 x 2 )
D:4 x 2 ( 3 x − 1 )
Step-by-step explanation:
hope this helps
mark me brainly
x^4 + y^4
How do you factor this? I have to factor it using x+y and xy.
Answers
Answer:
I'm not sure this could be factored. if it was x^4-y^4, then it would be (x-y)(x+y)(x^2+y^2)
ps. check if you have the question correct
is it possible to construct a triangle with the given side lengths 6,7 and 11 units ,if not explain
Answers
Answer:
Yes!
Step-by-step explanation:
The smaller sides sum should be greater (NOT EQUAL) than the longest side's sum.
The number of girls in a classroom is greater than the number of boys. There are more than girls. Write system of inequalities to model this situation. Use x to represent the number of boys and y to represent the number of girls
Answers
Answer:
Step-by-step explanation:
Required
Represent the relationship between population of girls and boys
From the question, we have that
[tex]Boys = x\\Girls = y[/tex]
Given that y is greater than x in the classroom;
One of the keywords in the given data is "Greater than"
The inequality to represent the system is the greater than sign;
In other words, >
Bringing x, y and > together to form a complete inequality; we have
[tex]Girls > Boys[/tex]
Replace Girls with y and Boys with x
[tex]y > x[/tex]
Tell whether each statement is a proportion:
3:9 = 6:18
28:7 = 64:16
95:100 = 17:20
60:80 = 14:16
200:300=24:36
Answers
Answer:
1. Yes
2. No
3. No
4. No
5. Yes
Step-by-step explanation:
Do you mean equal proportion?
1. 3 : 9 = 6 : 18 TRUE because 3 : 9 = 1 : 3 and 6 : 18 = 1 : 3
2. 28 : 7 = 64 : 16 FALSE because they are just not related.
3. 95 : 100 = 17 : 20 FALSE because the closest they get are 19 : 20 ≠ 17 : 20
4. 60 : 80 = 14 : 16 FALSE because the closest they get are 60 : 80 = 6 : 8 and 14 : 16 = 7 : 8
5. 200 : 300 = 24 : 36 TRUE because 200 : 300 = 2 : 3 and 24 : 36 = 2 : 3
Find the measure of an exterior angle of a regular polygon with 36 sides
Answers
Answer: The sum of the measures of the exterior angles in a convex polygon is 360 degrees (this can be proven using the sum of the interior angles). Since each exterior angle measures 36 degrees, there are 10 sides to the polygon.
Step-by-step explanation:
Yesterday, Bridget's Snack Shack went through 2 bottles of ketchup. If they used 2 3/5 times
as much mustard as ketchup, how many bottles of mustard did they go through?
Write your answer as a fraction or as a whole or mixed number.
bottles
Submit
I don't know this yet >
Answers
Answer: 26/5
Step-by-step explanation:
Mustard used was 2 3/5 as much as ketchup =
2 x 2 3/5
= 2 x 13/5
= 26/5
Find a positive angle less than 360° that is coterminal with the given angle.
620°
A positive angle less than 360° that is coterminal with 620° is...
Answers
Answer:
260
Step-by-step explanation:
five consecutive multiples of 3 add up to 105. What is the second smallest number
89 points!
Answers
Answer:
18
Step-by-step explanation:
Let's call the first number n. The next four numbers will be n + 3, n + 6, n + 9 and n + 12. Then, we have
n + n + 3 + n + 6 + n + 9 + n + 12 = 105
5n + 30 = 105
5n = 75
n = 15
The second smallest number is n + 3 which is 15 + 3 = 18.
Answer:
18
Step-by-step explanation:
Question 7 Multiple Choice Worth 1 points)
(03.03 LC)
Triangle MNO is dilated to form new triangle PQR. If angle
is congruent to angle R. what other information will prove that the two triangles are similar by the AA similarity postulate?
Side ON is congruent to side RQ.
Angle Nis congruent to angle
Side MN is congruent to side PQ.
Angle M is congruent to angle Q.
Please help
Answers
Answer:
Angle N is congruent to Angle Q.Step-by-step explanation:
If triangles MNO and PQR are similar, then the corresponding sides are propotional and the corresponding angles are congruent.
Angle M corresponds to Angle P.Angle N corresponds to Angle Q.Angle O corresponds to Angle R.So, we know by gvein that angles O and R are congruent. We only need another angle congruence to use the AA postulate of similarity.
Therefore, the right answer is the second choices, because Angle N must be congruent to Angle Q.
Answer: B: Angle N isn’t congruent to angle Q
Step-by-step explanation: You have to follow the letters MNO and PQR. We know O is congruent to R to get another angle we would use Angle N and Q because of the order since Angle M and angle Q aren’t in the same order and we’re not dealing with sides only Angles.
write this trinomial in factored form 4b^2 + 17b + 15
Answers
Answer:
(b + 3)(4b + 5)
Step-by-step explanation:
Given
4b² + 17b + 15
Consider the factors of the product of the b² term and the constant term which sum to give the coefficient of the b- term.
product = 4 × 15 = 60 and sum = 17
The factors are 12 and 5
Use these factors to split the b- term
4b² + 12b + 5b + 15 ( factor the first/second and third/fourth terms )
= 4b(b + 3) + 5(b + 3) ← factor out (b + 3) from each term
= (b + 3)(4b + 5) ← in factored form
Chen writes down a two digit number. He finds that if he swaps the digits of the number round, the new number he creates is three more than one third of the original number. What was the original number?
Answers
Answer: 27
Step-by-step explanation:
Let original number be 27,
swapping round we get 72
1/3 rd of 72 = 24
24 + 3 = 27
Answer:
Your answer is 27.
Step-by-step explanation:
I hope this helps!
A circle is centered at O(0,0)O(0,0)O, left parenthesis, 0, comma, 0, right parenthesis and has a radius of \sqrt{29}
29
square root of, 29, end square root.
Where does the point T(5,-2)T(5,−2)T, left parenthesis, 5, comma, minus, 2, right parenthesis lie?
Answers
Answer:
Point T is on the circle
Step-by-step explanation:
To check where the point lies, we need to find its distance to the center of the circle.
The distance between two points (x1, y1) and (x2, y2) is given by:
[tex]distance = \sqrt[2]{(x2 - x1)^{2} + (y2 - y1)^{2}}[/tex]
If the first point is O(0,0) and the second is T(5, -2), we have:
[tex]distance = \sqrt[2]{(5 - 0)^{2} + (-2 - 0)^{2}}[/tex]
[tex]distance = \sqrt{29}[/tex]
The distance between the points is equal the radius of the circle, that means the point T is on the circle.
Answer:
inside the circle
Step-by-step explanation:
Khan Academe
What is the slope-intercept equation of the line below?
O A. y = -2x-1
B. y=-2x+1
O C. y = 2x + 1
D. y = 2x - 1
Answers
Answer:
B. y=-2×+1
Step-by-step explanation:
2×+y-1=0
so,y=-2×+1 is the slope intercept
A population proportion is . A sample of size will be taken and the sample proportion will be used to estimate the population proportion. Use z-table. Round your answers to four decimal places. Do not round intermediate calculations. a. What is the probability that the sample proportion will be within of the population proportion? b. What is the probability that the sample proportion will be within of the population proportion?
Answers
Complete Question:
A population proportion is 0.4. A sample of size 200 will be taken and the sample proportion p will be used to estimate the population proportion. Use z- table Round your answers to four decimal places. Do not round intermediate calculations. a. What is the probability that the sample proportion will be within ±0.03 of the population proportion? b. What is the probability that the sample proportion will be within ±0.08 of the population proportion?
Answer:
A) 0.61351
Step-by-step explanation:
Sample proportion = 0.4
Sample population = 200
A.) proprobaility that sample proportion 'p' is within ±0.03 of population proportion
Statistically:
P(0.4-0.03<p<0.4+0.03)
P[((0.4-0.03)-0.4)/√((0.4)(.6))/200 < z < ((0.4+0.03)-0.4)/√((0.4)(.6))/200
P[-0.03/0.0346410 < z < 0.03/0.0346410
P(−0.866025 < z < 0.866025)
P(z < - 0.8660) - P(z < 0.8660)
0.80675 - 0.19325
= 0.61351
B) proprobaility that sample proportion 'p' is within ±0.08 of population proportion
Statistically:
P(0.4-0.08<p<0.4+0.08)
P[((0.4-0.08)-0.4)/√((0.4)(.6))/200 < z < ((0.4+0.08)-0.4)/√((0.4)(.6))/200
P[-0.08/0.0346410 < z < 0.08/0.0346410
P(−2.3094 < z < 2.3094)
P(z < -2.3094 ) - P(z < 2.3094)
0.98954 - 0.010461
= 0.97908
Which of the following has a denominator of 6?
a. 6 2/3
b. 16/18
c. 6/7
d. 1/6
Answers
Answer:
D
Step-by-step explanation:
The denominator is the bottom number in a fraction, while the numerator is the top number.
numerator/denominator
Let's analyze the answer choices.
A. 6 2/3
The bottom number of the fraction is a 3, so this cannot be correct.
B. 16/18
The denominator here is 18, so this choice is also incorrect.
C. 6/7
In this fraction the numerator is a 6, but the denominator is a 7, so this choice is also wrong.
D. 1/6
This choice is the correct answer. The denominator, or bottom number is a 6.
The answer is D. 1/6.
Answer:
D
Step-by-step explanation:
Numerator/ denominator
Upper part of a fraction is numerator & down part of the fraction is denominator
